Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

cell size small cells function more effectively, because as cells becom…

Question

cell size
small cells function more effectively, because as cells become larger their surface area to volume ratio:
multiple choice
stays the same
decreases.
is squared.
is cubed.
increases.

Explanation:

Brief Explanations

The surface - area - to - volume ratio of a cell is crucial for its function. As a cell grows larger, its volume increases more rapidly than its surface area. Mathematically, if we consider a simple geometric shape like a cube, volume ($V = s^3$) grows faster than surface area ($SA=6s^2$) as the side - length $s$ increases. This leads to a decrease in the surface - area - to - volume ratio. Smaller cells have a higher surface - area - to - volume ratio, which allows for more efficient exchange of materials (such as nutrients and waste) across the cell membrane.

Answer:

B. decreases